SOLUTION: two angles are complementary if the sum of their measures 90 degrees. Themeasure of the first angle is 5 degrees less than 4 times the second angle. What is the measure of the firs
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Question 200679: two angles are complementary if the sum of their measures 90 degrees. Themeasure of the first angle is 5 degrees less than 4 times the second angle. What is the measure of the first angle. Found 2 solutions by nerdybill, MathTherapy:Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! two angles are complementary if the sum of their measures 90 degrees. Themeasure of the first angle is 5 degrees less than 4 times the second angle. What is the measure of the first angle.
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Let x = second angle
then
4x-5 = first angle
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x + 4x-5 = 90
x + 4x = 95
5x = 90
x = 18 degrees (second angle)
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First angle:
4x-5 = 4(18)-5 = 72-5 = 67 degrees (first angle)
You can put this solution on YOUR website!
Let the second angle be s, then the first angle is 4s – 5
Therefore, s + 4s – 5 = 90
5s – 5 = 90
5s = 95
s = 19
Since the second angle or s equals 19, the first angle is 4(19) – 5 = .
